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Posts tagged with 3D










roots of x²⁶•y + x•z + y¹³•z + x•y¹³ + z²⁶     =   0

image

(Source: imaginary.org)










3D map of the large-scale distribution of dark matter, reconstructed from measurements of weak gravitational lensing with the Hubble Space Telescope.
via davidaedwards

3D map of the large-scale distribution of dark matter, reconstructed from measurements of weak gravitational lensing with the Hubble Space Telescope.

via davidaedwards


hi-res













Once you’ve accepted that Pac Man takes place on a torus

you can extend the same trick to make higher-genus manifolds.

hi-res




Discontinuities  in the 2-D level sets and how they might look one dimension higher.
(Draw)

(Defile)

(Couloir)


(Gully)

(Gulch)



(Gorge)

(Coulee)
(Moraine)
(Channel)
(Canal)

Gully, gulch, defile, draw, glen, cañon, ravine, rill, gorge, arroyo, rambla, strath, Guadal, rill, couloir, wash, …
— protëa(@isomorphisms) March 5, 2013

Discontinuities  in the 2-D level sets and how they might look one dimension higher.File:Draw javorinky.jpg

(Draw)

File:Défilé de l'Ecluse.jpg

(Defile)

http://upload.wikimedia.org/wikipedia/commons/4/49/Steinerne_Rinne_HQ.jpg

(Couloir)

File:A gully (Budanova Gora) 1.jpg

File:Gully in the Kharkov region.jpg

(Gully)

File:E8236-Tamchy-dry-gulch.jpg

(Gulch)

File:Ngaraisianok.jpg

File:Gorges of Ak-SHur.jpg

(Gorge)

File:Drum-Heller-Channels.jpg

(Coulee)

(Moraine)

(Channel)

(Canal)

(Source: Wikipedia)


hi-res




a smooth field of 1-vectors in 3-D

a smooth field of 1-vectors in 3-D

(Source: thievess)


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Brains sound like a wicked-hard space to think about.
It’s a tightly connected (but not totally connected) network (graph theory)
Each of the nodes’ 3-D location may be important as well (voxels)
The signals propagate through time (dynamical)

Brains sound like a wicked-hard space to think about.

  • It’s a tightly connected (but not totally connected) network (graph theory)
  • Each of the nodes’ 3-D location may be important as well (voxels)
  • The signals propagate through time (dynamical)

hi-res




Things that are easy in J but hard in other languages:

  • generating a bunch of crazy surfaces
  • computing Gaussian curvatures of areas and geodesic curvatures of (closed) boundary curves
  • checking the Gauß-Bonnet Theorem

(Source: jsoftware.com)